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Simplifying 7x2 = 40x + -25 Reorder the terms: 7x2 = -25 + 40x Solving 7x2 = -25 + 40x Solving for variable 'x'. Reorder the terms: 25 + -40x + 7x2 = -25 + 40x + 25 + -40x Reorder the terms: 25 + -40x + 7x2 = -25 + 25 + 40x + -40x Combine like terms: -25 + 25 = 0 25 + -40x + 7x2 = 0 + 40x + -40x 25 + -40x + 7x2 = 40x + -40x Combine like terms: 40x + -40x = 0 25 + -40x + 7x2 = 0 Factor a trinomial. (5 + -7x)(5 + -1x) = 0Subproblem 1
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0.7142857143, 5}
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